text: /*
    This file is for transpose of the Gao-Mateer FFT
    Functions with names ending with _tr are (roughly) the transpose of the corresponding functions in fft.c
  */
  
  #include "fft_tr.h"
  
  #include "transpose.h"
  
  #include <stdint.h>
  
  static void radix_conversions_tr(vec256 *in) {
      int i, j, k;
      vec256 t;
      uint64_t v[4];
  
      const vec256 mask[6][2] = {
          {
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x2222222222222222, 0x2222222222222222, 0x2222222222222222, 0x2222222222222222),
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x4444444444444444, 0x4444444444444444, 0x4444444444444444, 0x4444444444444444)
          },
          {
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x0C0C0C0C0C0C0C0C, 0x0C0C0C0C0C0C0C0C, 0x0C0C0C0C0C0C0C0C, 0x0C0C0C0C0C0C0C0C),
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x3030303030303030, 0x3030303030303030, 0x3030303030303030, 0x3030303030303030)
          },
          {
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x00F000F000F000F0, 0x00F000F000F000F0, 0x00F000F000F000F0, 0x00F000F000F000F0),
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x0F000F000F000F00, 0x0F000F000F000F00, 0x0F000F000F000F00, 0x0F000F000F000F00)
          },
          {
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x0000FF000000FF00, 0x0000FF000000FF00, 0x0000FF000000FF00, 0x0000FF000000FF00),
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x00FF000000FF0000, 0x00FF000000FF0000, 0x00FF000000FF0000, 0x00FF000000FF0000)
          },
          {
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x00000000FFFF0000, 0x00000000FFFF0000, 0x00000000FFFF0000, 0x00000000FFFF0000),
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x0000FFFF00000000, 0x0000FFFF00000000, 0x0000FFFF00000000, 0x0000FFFF00000000)
          },
          {
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0xFFFFFFFF00000000, 0xFFFFFFFF00000000, 0xFFFFFFFF00000000, 0xFFFFFFFF00000000),
              PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(0x00000000FFFFFFFF, 0x00000000FFFFFFFF, 0x00000000FFFFFFFF, 0x00000000FFFFFFFF)
          }
      };
  
      const vec256 s[6][GFBITS] = {
  #include "scalars_4x.inc"
      };
  
      //
  
      for (j = 6; j >= 0; j--) {
          if (j < 6) {
              PQCLEAN_MCELIECE6960119_AVX_vec256_mul(in, in, s[j]); // scaling
          }
  
          for (k = j; k <= 4; k++) {
              for (i = 0; i < GFBITS; i++) {
                  t = PQCLEAN_MCELIECE6960119_AVX_vec256_and(in[i], mask[k][0]);
                  t = PQCLEAN_MCELIECE6960119_AVX_vec256_sll_4x(t, 1 << k);
                  in[i] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(in[i], t);
  
                  t = PQCLEAN_MCELIECE6960119_AVX_vec256_and(in[i], mask[k][1]);
                  t = PQCLEAN_MCELIECE6960119_AVX_vec256_sll_4x(t, 1 << k);
                  in[i] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(in[i], t);
              }
          }
  
          if (j <= 5) {
              for (i = 0; i < GFBITS; i++) {
                  v[0] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(in[i], 0);
                  v[1] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(in[i], 1);
                  v[2] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(in[i], 2);
                  v[3] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(in[i], 3);
  
                  v[1] ^= v[0] >> 32;
                  v[1] ^= v[1] << 32;
                  v[3] ^= v[2] >> 32;
                  v[3] ^= v[3] << 32;
  
                  in[i] = PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(v[0], v[1], v[2], v[3]);
              }
          }
  
          for (i = 0; i < GFBITS; i++) {
              v[0] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(in[i], 0);
              v[1] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(in[i], 1);
              v[2] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(in[i], 2);
              v[3] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(in[i], 3);
  
              v[2] ^= v[1];
              v[3] ^= v[2];
  
              in[i] = PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(v[0], v[1], v[2], v[3]);
          }
  
      }
  }
  
  static void butterflies_tr(vec256 *out, vec256 in[][ GFBITS ]) {
      int i, j, k, s, b;
  
      vec256 t0[ GFBITS ];
      vec256 t1[ GFBITS ];
      vec256 t;
  
      vec128 out128[ GFBITS ][ 2 ];
      vec128 tmp[ GFBITS ];
  
      union {
          vec128 v[6][  GFBITS + 1    ];
          vec256 V[6][ (GFBITS + 1) / 2 ];
      } pre;
  
      union {
          vec128 v[64][ 2 ];
          vec256 V[64];
      } buf;
  
      const vec256 consts[ 33 ][ GFBITS ] = {
  #include "consts.inc"
      };
  
      uint64_t v[4];
      uint64_t consts_ptr = 33;
  
      const unsigned char reversal[] = {
          0, 32, 16, 48,  8, 40, 24, 56,
          4, 36, 20, 52, 12, 44, 28, 60,
          2, 34, 18, 50, 10, 42, 26, 58,
          6, 38, 22, 54, 14, 46, 30, 62,
          1, 33, 17, 49,  9, 41, 25, 57,
          5, 37, 21, 53, 13, 45, 29, 61,
          3, 35, 19, 51, 11, 43, 27, 59,
          7, 39, 23, 55, 15, 47, 31, 63
      };
  
      const uint16_t beta[6] = {5246, 5306, 6039, 6685, 4905, 6755};
  
      // butterflies
  
      for (i = 4; i >= 0; i--) {
          s = 1 << i;
          consts_ptr -= s;
  
          for (j = 0; j < 32; j += 2 * s) {
              for (k = j; k < j + s; k++) {
                  PQCLEAN_MCELIECE6960119_AVX_vec256_ama_asm(in[k], in[k + s], consts[ consts_ptr + (k - j) ]);
              }
          }
  
      }
  
      for (k = 0; k < 32; k += 2) {
          for (b = 0; b < GFBITS; b++) {
              t0[b] = PQCLEAN_MCELIECE6960119_AVX_vec256_unpack_low(in[k][b], in[k + 1][b]);
          }
          for (b = 0; b < GFBITS; b++) {
              t1[b] = PQCLEAN_MCELIECE6960119_AVX_vec256_unpack_high(in[k][b], in[k + 1][b]);
          }
  
          PQCLEAN_MCELIECE6960119_AVX_vec256_ama_asm(t0, t1, consts[1]);
  
          for (b = 0; b < GFBITS; b++) {
              in[k][b] = PQCLEAN_MCELIECE6960119_AVX_vec256_unpack_low(t0[b], t1[b]);
          }
          for (b = 0; b < GFBITS; b++) {
              in[k + 1][b] = PQCLEAN_MCELIECE6960119_AVX_vec256_unpack_high(t0[b], t1[b]);
          }
  
          for (b = 0; b < GFBITS; b++) {
              t0[b] = PQCLEAN_MCELIECE6960119_AVX_vec256_unpack_low_2x(in[k][b], in[k + 1][b]);
          }
          for (b = 0; b < GFBITS; b++) {
              t1[b] = PQCLEAN_MCELIECE6960119_AVX_vec256_unpack_high_2x(in[k][b], in[k + 1][b]);
          }
  
          PQCLEAN_MCELIECE6960119_AVX_vec256_ama_asm(t0, t1, consts[0]);
  
          for (b = 0; b < GFBITS; b++) {
              in[k + 0][b] = PQCLEAN_MCELIECE6960119_AVX_vec256_unpack_low_2x(t0[b], t1[b]);
          }
          for (b = 0; b < GFBITS; b++) {
              in[k + 1][b] = PQCLEAN_MCELIECE6960119_AVX_vec256_unpack_high_2x(t0[b], t1[b]);
          }
      }
  
  
      // boradcast
  
      for (i = 0; i < GFBITS; i += 2) {
          // transpose
  
          for (k = 0; k < 32; k++) {
              if (i != GFBITS - 1) {
                  buf.v[ reversal[2 * k + 0] ][1] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract2x(in[ k ][i + 1], 0);
                  buf.v[ reversal[2 * k + 1] ][1] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract2x(in[ k ][i + 1], 1);
              }
  
              buf.v[ reversal[2 * k + 0] ][0] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract2x(in[ k ][i + 0], 0);
              buf.v[ reversal[2 * k + 1] ][0] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract2x(in[ k ][i + 0], 1);
          }
  
          PQCLEAN_MCELIECE6960119_AVX_transpose_64x256_sp(buf.V);
  
          //
  
          pre.V[0][i / 2] = buf.V[32];
          buf.V[33] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[33], buf.V[32]);
          pre.V[1][i / 2] = buf.V[33];
          buf.V[35] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[35], buf.V[33]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[35]);
          buf.V[34] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[34], buf.V[35]);
          pre.V[2][i / 2] = buf.V[34];
          buf.V[38] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[38], buf.V[34]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[38]);
          buf.V[39] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[39], buf.V[38]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[39]);
          buf.V[37] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[37], buf.V[39]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[37]);
          buf.V[36] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[36], buf.V[37]);
          pre.V[3][i / 2] = buf.V[36];
          buf.V[44] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[44], buf.V[36]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[44]);
          buf.V[45] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[45], buf.V[44]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[45]);
          buf.V[47] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[47], buf.V[45]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[47]);
          buf.V[46] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[46], buf.V[47]);
          pre.V[2][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[2][i / 2], buf.V[46]);
          buf.V[42] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[42], buf.V[46]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[42]);
          buf.V[43] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[43], buf.V[42]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[43]);
          buf.V[41] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[41], buf.V[43]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[41]);
          buf.V[40] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[40], buf.V[41]);
          pre.V[4][i / 2] = buf.V[40];
          buf.V[56] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[56], buf.V[40]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[56]);
          buf.V[57] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[57], buf.V[56]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[57]);
          buf.V[59] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[59], buf.V[57]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[59]);
          buf.V[58] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[58], buf.V[59]);
          pre.V[2][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[2][i / 2], buf.V[58]);
          buf.V[62] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[62], buf.V[58]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[62]);
          buf.V[63] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[63], buf.V[62]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[63]);
          buf.V[61] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[61], buf.V[63]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[61]);
          buf.V[60] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[60], buf.V[61]);
          pre.V[3][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[3][i / 2], buf.V[60]);
          buf.V[52] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[52], buf.V[60]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[52]);
          buf.V[53] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[53], buf.V[52]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[53]);
          buf.V[55] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[55], buf.V[53]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[55]);
          buf.V[54] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[54], buf.V[55]);
          pre.V[2][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[2][i / 2], buf.V[54]);
          buf.V[50] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[50], buf.V[54]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[50]);
          buf.V[51] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[51], buf.V[50]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[51]);
          buf.V[49] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[49], buf.V[51]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[49]);
          buf.V[48] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[48], buf.V[49]);
          pre.V[5][i / 2] = buf.V[48];
          buf.V[16] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[16], buf.V[48]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[16]);
          buf.V[17] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[17], buf.V[16]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[17]);
          buf.V[19] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[19], buf.V[17]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[19]);
          buf.V[18] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[18], buf.V[19]);
          pre.V[2][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[2][i / 2], buf.V[18]);
          buf.V[22] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[22], buf.V[18]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[22]);
          buf.V[23] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[23], buf.V[22]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[23]);
          buf.V[21] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[21], buf.V[23]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[21]);
          buf.V[20] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[20], buf.V[21]);
          pre.V[3][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[3][i / 2], buf.V[20]);
          buf.V[28] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[28], buf.V[20]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[28]);
          buf.V[29] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[29], buf.V[28]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[29]);
          buf.V[31] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[31], buf.V[29]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[31]);
          buf.V[30] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[30], buf.V[31]);
          pre.V[2][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[2][i / 2], buf.V[30]);
          buf.V[26] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[26], buf.V[30]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[26]);
          buf.V[27] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[27], buf.V[26]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[27]);
          buf.V[25] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[25], buf.V[27]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[25]);
          buf.V[24] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[24], buf.V[25]);
          pre.V[4][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[4][i / 2], buf.V[24]);
          buf.V[8] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[8], buf.V[24]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[8]);
          buf.V[9] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[9], buf.V[8]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[9]);
          buf.V[11] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[11], buf.V[9]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[11]);
          buf.V[10] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[10], buf.V[11]);
          pre.V[2][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[2][i / 2], buf.V[10]);
          buf.V[14] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[14], buf.V[10]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[14]);
          buf.V[15] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[15], buf.V[14]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[15]);
          buf.V[13] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[13], buf.V[15]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[13]);
          buf.V[12] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[12], buf.V[13]);
          pre.V[3][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[3][i / 2], buf.V[12]);
          buf.V[4] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[4], buf.V[12]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[4]);
          buf.V[5] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[5], buf.V[4]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[5]);
          buf.V[7] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[7], buf.V[5]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[7]);
          buf.V[6] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[6], buf.V[7]);
          pre.V[2][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[2][i / 2], buf.V[6]);
          buf.V[2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[2], buf.V[6]);
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[2]);
          buf.V[3] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[3], buf.V[2]);
          pre.V[1][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[1][i / 2], buf.V[3]);
          buf.V[1] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[1], buf.V[3]);
  
          pre.V[0][i / 2] = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(pre.V[0][i / 2], buf.V[1]);
          t = PQCLEAN_MCELIECE6960119_AVX_vec256_xor(buf.V[0], buf.V[1]);
  
          if (i != GFBITS - 1) {
              out128[i + 1][0] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract2x(t, 1);
          }
          out128[i + 0][0] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract2x(t, 0);
  
      }
  
      //
  
      for (j = 0; j < GFBITS; j++) {
          tmp[j] = PQCLEAN_MCELIECE6960119_AVX_vec128_setbits((beta[0] >> j) & 1);
      }
  
      PQCLEAN_MCELIECE6960119_AVX_vec128_mul(tmp, pre.v[0], tmp);
  
      for (b = 0; b < GFBITS; b++) {
          out128[b][1] = tmp[b];
      }
  
      for (i = 1; i < 6; i++) {
          for (j = 0; j < GFBITS; j++) {
              tmp[j] = PQCLEAN_MCELIECE6960119_AVX_vec128_setbits((beta[i] >> j) & 1);
          }
  
          PQCLEAN_MCELIECE6960119_AVX_vec128_mul(tmp, pre.v[i], tmp);
  
          for (b = 0; b < GFBITS; b++) {
              out128[b][1] = PQCLEAN_MCELIECE6960119_AVX_vec128_xor(out128[b][1], tmp[b]);
          }
      }
  
      for (b = 0; b < GFBITS; b++) {
          v[0] = PQCLEAN_MCELIECE6960119_AVX_vec128_extract(out128[b][0], 0);
          v[1] = PQCLEAN_MCELIECE6960119_AVX_vec128_extract(out128[b][0], 1);
          v[2] = PQCLEAN_MCELIECE6960119_AVX_vec128_extract(out128[b][1], 0);
          v[3] = PQCLEAN_MCELIECE6960119_AVX_vec128_extract(out128[b][1], 1);
  
          out[b] = PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(v[0], v[1], v[2], v[3]);
      }
  }
  
  /* justifying the length of the output */
  static void postprocess(vec256 *out) {
      int i;
      uint64_t v[4];
  
      for (i = 0; i < 13; i++) {
          v[0] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(out[i], 0);
          v[1] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(out[i], 1);
          v[2] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(out[i], 2);
          v[3] = PQCLEAN_MCELIECE6960119_AVX_vec256_extract(out[i], 3);
  
          v[3] <<= (128 - SYS_T) * 2;
          v[3] >>= (128 - SYS_T) * 2;
  
          out[i] = PQCLEAN_MCELIECE6960119_AVX_vec256_set4x(v[0], v[1], v[2], v[3]);
      }
  }
  
  
  void PQCLEAN_MCELIECE6960119_AVX_fft_tr(vec256 *out, vec256 in[][ GFBITS ]) {
      butterflies_tr(out, in);
      radix_conversions_tr(out);
  
      postprocess(out);
  }
  
  